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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The identity that n choose r equals n choose n minus r"

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Common Mistakes: Subtraction as an example of neither law

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Learn: What an identity element is

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Practice: Why an identity element must work from both sides

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Common Mistakes: Checking an inverse by working the operation both ways

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Common Mistakes: Why the index laws need the bases to match

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Quiz: An indicial equation that becomes a quadratic in a power

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Show All Working: A word problem that leads to an indicial equation

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Show All Working: The common logarithm, to base ten

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Common Mistakes: Rejecting a root that makes a logarithm undefined

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Worked Example: Converting a logarithm to base ten so that tables can be used

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Common Mistakes: A logarithmic equation that becomes a quadratic

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Show All Working: Deciding whether a given number is a term of a sequence

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Common Mistakes: The Fibonacci sequence and the rule behind it

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Show All Working: Deciding whether a number belongs to a given arithmetic progression

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Show All Working: The sum of the terms lying between two given positions

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Common Mistakes: Proving the sum formula by pairing the terms

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Show All Working: The sum to infinity of a geometric progression, and when it exists

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Common Mistakes: A bouncing ball problem, and the total distance travelled

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Practice: Using a table of signs to solve a quadratic inequality

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WAEC Prep: A quadratic inequality with no real critical values

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